真分数表成单位分数和的一类特解

用初等的方法研究了m/n表法，并给出了真分数表成单位分数和的一类特解。     

灰色模型的最优化及其参数的直接求法

基于灰色模型的内涵表达式和白化方程响应式均为等比级数的观点,提出了一种不用求ago值、均值,不涉及灰色微分方程,白化微分方程概念,直接求灰色模型参数a,c的方法,通过此方法建立的新模型不仅从理论上可保证是在满足给定评价标准为模拟绝对误差平方和最小(或模拟相对误差平方和最小)、给定精度条件下的最优化模型,从而结束了灰色模型只有更优,没有最优的历史.并从理论上证明了新模型具有白化指数律重合性、白化系数律重合性,伸缩变换一致性.最后通过实例编程验证该方法具有可操作性,且预测精度高,效果好.     

Energy-Momentum Pseudo-Tensor of Relic Gravitational Wave of Both the Polarized States

Unlike usual celestial gravitational waves, the relic gravitational waves （RGWs） form random signals in curved spacetime background. We calculate the energy-momentum pseudo-tensor of a certain component of the RGWs propagating along arbitrary directions in Cartesian coordinates. It is found that the energy density of RGWs is positive definitely, and the momentum density components have reasonable behaviour. Such results may provide a theoretical basis for the detection of RGWs.     

Dimensional Properties of Fractional Brownian Motion

Let B^α = {B^α（t）,t E R^N} be an （N,d）-fractional Brownian motion with Hurst index α∈ （0, 1）. By applying the strong local nondeterminism of B^α, we prove certain forms of uniform Hausdorff dimension results for the images of B^α when N 〉 αd. Our results extend those of Kaufman for one-dimensional Brownian motion.     

分数Hamilton圈与分数树形图

定义有向图的分数有向Hamilton圈和分数支撑树形图，讨论分数Hamilton圈、分数旅行售货员问题和分数支撑树形图基于线性规划的等价定义及多项式时间算法。     

流体非线性声学参量B／A的分子热力学研究

提出流体非线性声学参量Ｂ／Ａ的体积模量表述，证明了Ｂ／Ａ是流体体积模量的函数，研究了理想气体、硬球液体Ｂ／Ａ的性质，得到硬球体系液体的Ｂ／Ａ表达式．为用热力学、分子热力学方法计算流体的Ｂ／Ａ提供了理论依据     

An approach to the detection of underwater remote target

An approach to the detection of underwater remote target by estimating its backscattering coefficient is presented. The key to this approach is that the echo signal is represented in state-variable model and the back-scattering coefficients of target are contained in dynamic noise of this model, thus underwater target can be detected by estimating this dynamic noise, i.e., deconvolving this model. When all noise statistics are a priori known, an optimum deconvolution algorithm based on the optimum state filter is derived, or else, an adaptive deconvolution algorithm based on the adaptive state filter of alternatively estimating the vector state and the noise statistics is developed. In the final simulation test, an echo signal with SNR equal to -6.1 dB is proceeded using the aforementioned two deconvolution algorithms, respectively, and the results demonstrate good performance of the approach.     

有机物临界性质推算方法的评价：Ⅱ临界压力和临界体积

采用文献发表的临界压力，临界体积和实验值，对较常见或计算较方便的十几种推算临界压力，临界体积的方法进行了评价与考核，给出了每种推算方法的适用范围及每一类有机物估算临界压力，临界体积推荐使用的方法。